Physics, asked by raghumscin, 10 months ago

two trains A and B approaching a platform from opposite direction. the siren in the station is making a sound at frequency 4 the passenger in train A and B hear it with frequencies 4.5 and 5 then velocities of A and B​

Answers

Answered by creamydhaka
3

v_{Ao}=42.875\ m.s^{-1} is the velocity of train A

v_{Bo}=85.75\ m.s^{-1} is the velocity of train B

Explanation:

Given:

  • original frequency of sound from source, f_s=4\ Hz
  • frequency observed from train A, f_{Ao}=4.5\ Hz
  • frequency observed from train B, f_{Bo}=5\ Hz

We have;

  • the speed of sound in air,s=343\ m.s^{-1}

Now, by the mathematical expression of Doppler effect:

For train A:

\frac{f_{Ao}}{f_s} =\frac{S-v_A_o}{S}

\frac{4.5}{4} =\frac{343+v_A_o}{343}

v_{Ao}=42.875\ m.s^{-1}

For train B:

\frac{f_{Bo}}{f_s} =\frac{S-v_B_o}{S}

\frac{5}{4} =\frac{343+v_B_o}{343}

v_{Bo}=85.75\ m.s^{-1}

TOPICS: Doppler effect of sound

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